162531072 has 216 divisors, whose sum is σ = 525169008. Its totient is φ = 48322560.

The previous prime is 162531071. The next prime is 162531077. The reversal of 162531072 is 270135261.

It is a happy number.

162531072 is a `hidden beast` number, since 1 + 62 + 531 + 0 + 72 = 666.

162531072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162531071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3066598 + ... + 3066650.

It is an arithmetic number, because the mean of its divisors is an integer number (2431338).

Almost surely, 2^162531072 is an apocalyptic number.

162531072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262584504).

162531072 is an abundant number, since it is smaller than the sum of its proper divisors (362637936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

162531072 is an equidigital number, since it uses as much as digits as its factorization.

162531072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 162531072 is about 12748.7674698380. The cubic root of 162531072 is about 545.7312206059.

The spelling of 162531072 in words is "one hundred sixty-two million, five hundred thirty-one thousand, seventy-two".